The stiffness of the spring is 5 * 10 ^ 3N / m. The limiting length to which it can be stretched is 16 mm.

The stiffness of the spring is 5 * 10 ^ 3N / m. The limiting length to which it can be stretched is 16 mm. Will the elasticity of the spring be preserved if a force of 50 N, 100 N is applied to it?

Given:

k = 5 * 10 ^ 3 Newton / meter = 5000 Newton / meter – coefficient of spring stiffness;

dx = 16 millimeters = 0.016 meters – the maximum length to which the spring can be stretched;

F1 = 50 Newton – force value;

F2 = 100 Newton – force value.

It is required to determine whether the forces F1 and F2 can be applied to the spring.

Let us find the amount by which the spring will stretch when the force F1 acts on it:

dx1 = F1 / k = 50/5000 = 0.01 meters.

Let us find the amount by which the spring will stretch when the force F2 acts on it:

dx2 = F2 / k = 100/5000 = 0.02 meters.

Since dx1 <dx, the force F1 can be applied to the spring.

Since dx2> dx, the force F2 cannot be applied to the spring.

Answer: if you apply a force of 50 Newton, the elasticity of the spring will be preserved, if the force is 100 Newton, it will not be preserved.